11257861770 has 96 divisors (see below), whose sum is σ = 30438018000. Its totient is φ = 2883428352.

The previous prime is 11257861759. The next prime is 11257861801. The reversal of 11257861770 is 7716875211.

11257861770 is a `hidden beast` number, since 1 + 1 + 2 + 578 + 6 + 1 + 7 + 70 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1734639201 + 9523222569 = 41649^2 + 97587^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492556 + ... + 514904.

Almost surely, 2^11257861770 is an apocalyptic number.

11257861770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11257861770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15219009000).

11257861770 is an abundant number, since it is smaller than the sum of its proper divisors (19180156230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11257861770 is a wasteful number, since it uses less digits than its factorization.

11257861770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22584 (or 22581 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 45.

The spelling of 11257861770 in words is "eleven billion, two hundred fifty-seven million, eight hundred sixty-one thousand, seven hundred seventy".